Asymmetric general Choquet integrals

被引：0
|
作者：
Mihailovic, Bijana [1 ]
Pap, Endre [2 ]
机构：
[1] Univ Novi Sad, Fac Tech Sci, Novi Sad 21000, Serbia
[2] Univ Novi Sad, Dept Math & Informat, Novi Sad 21000, Serbia
来源：
ACTA POLYTECHNICA HUNGARICA | 2009年 / 6卷 / 01期
关键词：
symmetric pseudo-operations; non-monotonic set function; general fuzzy integral; asymmetric Choquet integral; REPRESENTATION;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A notion of a generated chain variation of a set function in with values in [-1, 1] is proposed. The space BgV of set functions of bounded g-chain variation is introduced and properties of set functions from BgV are discussed. A general Choquet integral of bounded A-measurable,function is defined with respect to a set function in is an element of BgV. A constructive method for obtaining this asymmetric integral is considered. A general fuzzy integral of bounded g-variation, comonotone circle plus-additivite and positive circle dot-homogenous is represented by a general Choquet integral. The representation of a general Choquet integral in terms of a pseudo Lebesque-Stiltjes integral is obtained.
引用
收藏
页码：161 / 173
页数：13
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